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A226055 a(n) is the first common term in column n of tables A225630 and A225640, when scanned from the top to bottom.

%I A226055 #19 Feb 11 2025 14:53:33
%S A226055 1,1,2,3,4,30,6,84,120,180,210,4620,4620,780,360360,360360,240240,
%T A226055 92820,12252240,175560,58198140,116396280,360360,753480,2677114440,
%U A226055 13385572200,26771144400,40156716600,2677114440,13665960,2329089562800,82990547640,48134517631200
%N A226055 a(n) is the first common term in column n of tables A225630 and A225640, when scanned from the top to bottom.
%C A226055 Consider an algorithm which finds a maximum value lcm(p1,p2,...,pk,prevmax) among all partitions {p1+p2+...+pk} of n, where the "seed number" prevmax is such a maximum value from the previous iteration.
%C A226055 a(n) gives the first identical value encountered, after repeated iterations, when starting from the initial seed value 1, and when starting from the initial seed value of n.
%C A226055 Equivalently, the first common term occurring on the row n of tables A225632 and A225642, when scanning the rows from the left. These are A225638(n)-th and A225639(n)-th terms from the beginning of each row, respectively.
%H A226055 <a href="/index/Lc#lcm">Index entries for sequences related to lcm's</a>
%F A226055 a(n) = A225630(A225638(n),n) = A225640(A225639(n),n).
%e A226055 Row 8 of A225632 is 1, 15, 120, 840;
%e A226055 Row 8 of A225642 is 8, 120, 840;
%e A226055 Their first common term from the left is 120, thus a(8)=120.
%o A226055 (Scheme)
%o A226055 (define (A226055 n) (A225630bi n (A225638 n)))
%o A226055 (define (A226055 n) (A225640bi n (A225639 n))) ;; Alternative definition.
%o A226055 ;; The Scheme-definitions of A225630bi and A225640bi given respectively in A225630 and A225640.
%Y A226055 Cf. A225630, A225640, A225638, A225639.
%Y A226055 Also, a(n) is the A226056(n)-th rightmost term on the row n in tables A225632 and A225642.
%K A226055 nonn
%O A226055 0,3
%A A226055 _Antti Karttunen_, May 24 2013